Acydicity of solution sets-to asymptotic problems, when the value is prescribed either at the origin or at infinity, is proved for differential inclusions and discontinuous au-tonomous differential inclusions. Existence criteria showing that such sets are non-empty are obtained as well.
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J. Andres, G. Gabor, L. Gorniewicz, Topological Structure of Solution Sets to Multi-Valued Asymptotic Problems. Z. Anal. Anwend. 19 (2000), no. 1, pp. 35–60DOI 10.4171/ZAA/937